85577472 has 90 divisors (see below), whose sum is σ = 255238368. Its totient is φ = 28518912.

The previous prime is 85577431. The next prime is 85577477. The reversal of 85577472 is 27477558.

85577472 is a `hidden beast` number, since 8 + 5 + 577 + 4 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85577477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18673 + ... + 22799.

Almost surely, 2^85577472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85577472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127619184).

85577472 is an abundant number, since it is smaller than the sum of its proper divisors (169660896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85577472 is an equidigital number, since it uses as much as digits as its factorization.

85577472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4155 (or 4132 counting only the distinct ones).

The product of its digits is 548800, while the sum is 45.

The square root of 85577472 is about 9250.8092618970. The cubic root of 85577472 is about 440.6764251433.

The spelling of 85577472 in words is "eighty-five million, five hundred seventy-seven thousand, four hundred seventy-two".